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3 years ago

13

Kong took 15\%, percent fewer seconds than Nolan took to complete his multiplication timed test. Kong took 85 seconds. How many

seconds did Nolan take?

1 answer:

andreev551 [17]3 years ago

6 0

Answer:

Nolan took 97.75 seconds. you may need to round it to 98.

Step-by-step explanation:

multiply 15% by 85 which equals 12.75 then add to 85

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Vedmedyk [2.9K]

Answer:

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Step-by-step explanation:

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

The population proportion have the following distribution

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And we can solve the problem using the z score on this case given by:

$z=\frac{p_o -p}{\sqrt{\frac{p(1-p)}{n}}}$

We are interested on this probability:

$P(0.26 \leq p \leq 0.43)$

And we can use the z score formula, and we got this:

$P(\frac{0.26 -0.4}{\sqrt{\frac{0.4(1-0.4)}{91}}} \leq Z \leq \frac{0.43 -0.4}{\sqrt{\frac{0.4(1-0.4)}{91}}})$

$P(-2.726 \leq Z \leq 0.584)$

And we can find this probability like this:

$P(-2.726 \leq Z \leq 0.584)=P(Z$

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